2-modular lattices from ternary codes.

DOI10.5802/JTNB.347zbMath1050.94018OpenAlexW2333490117MaRDI QIDQ1396433

Philippe Gaborit, Steven T. Dougherty, Patrick Solé, Robin J. Chapman

Publication date: 30 June 2003

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2002__14_1_73_0

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) to coding theory (94B75) Relations with coding theory (11H71)

Related Items (4)

2- and 3-modular lattice wiretap codes in small dimensions ⋮ Modular lattices from a variation of construction A over number fields ⋮ Cyclic codes and \(\lambda_1 + \lambda_2 u + \lambda_3 v + \lambda_4 u v\)-constacyclic codes over \(\mathbb{F}_p + u \mathbb{F}_p + v \mathbb{F}_p + u v \mathbb{F}_p\) ⋮ Good \(p\)-ary quasic-cyclic codes from cyclic codes over \(\mathbb F_p+ v\mathbb F_p\)

Cites Work

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• Self-dual codes over the integers modulo 4
• Cyclic self-dual \(\mathbb Z_4\)-codes.
• The shadow theory of modular and unimodular lattices
• Applications of coding theory to the construction of modular lattices
• On the binary self-dual codes with an automorphism of order 2
• Classification of extremal double-circulant self-dual codes of length up to \(62\)
• Modular lattices in Euclidean spaces
• Codes and arrays from cocycles
• Duality for modules over finite rings and applications to coding theory
• A linear construction for certain Kerdock and Preparata codes
• Type II codes over Z/sub 4/
• All self-dual Z/sub 4/ codes of length 15 or less are known
• Type IV self-dual codes over rings
• Constacyclic codes, cocycles and a u+v|u-v construction
• Type II codes over F/sub 2/+uF/sub 2/
• Shadow codes and weight enumerators
• Quaternary quadratic residue codes and unimodular lattices
• Mass formulas for self-dual codes over Z/sub 4/ and F/sub q/+uF/sub q/ rings
• Finite Unitary Reflection Groups

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